{"id":6842,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/loi-weibull\/"},"modified":"2021-02-26T08:16:19","modified_gmt":"2021-02-26T08:16:19","slug":"weibull","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/weibull\/","title":{"rendered":"LOI.WEIBULL"},"content":{"rendered":"<p>La fonction LOI.WEIBULL dans Excel et WEIBULL dans Google Sheets est utilis\u00e9e pour d\u00e9terminer la densit\u00e9 de probabilit\u00e9 ou la fonction de distribution cumul\u00e9e d&rsquo;une distribution Weibull. Cette distribution est largement utilis\u00e9e dans l&rsquo;analyse de la fiabilit\u00e9 et la mod\u00e9lisation de la dur\u00e9e de vie pour pr\u00e9dire le temps avant d\u00e9faillance d&rsquo;un produit, mais trouve aussi des applications dans d&rsquo;autres domaines statistiques.<\/p>\n<h2>Description de la Syntaxe<\/h2>\n<p>La syntaxe de la fonction varie l\u00e9g\u00e8rement entre Excel et Google Sheets, bien que les param\u00e8tres soient identiques dans les deux cas.<\/p>\n<ul>\n<li><strong>Excel:<\/strong> <code>LOI.WEIBULL(x, alpha, beta, cumulatif)<\/code><\/li>\n<li><strong>Google Sheets:<\/strong> <code>WEIBULL(x, alpha, beta, cumulatif)<\/code><\/li>\n<\/ul>\n<p>Les param\u00e8tres sont d\u00e9finis comme suit :<\/p>\n<ul>\n<li><code>x<\/code> : la valeur de la variable pour laquelle la distribution est \u00e9valu\u00e9e.<\/li>\n<li><code>alpha<\/code> : le param\u00e8tre de forme de la distribution.<\/li>\n<li><code>beta<\/code> : le param\u00e8tre d&rsquo;\u00e9chelle de la distribution.<\/li>\n<li><code>cumulatif<\/code> : un bool\u00e9en (VRAI ou FAUX). Si VRAI, la fonction renvoie la fonction de distribution cumul\u00e9e; si FAUX, la densit\u00e9 de probabilit\u00e9 est retourn\u00e9e.<\/li>\n<\/ul>\n<h2>Exemples Pratiques<\/h2>\n<p>Ci-dessous, quelques exemples illustrent l&rsquo;utilisation de cette fonction.<\/p>\n<h2>Exemple 1: Analyse de la dur\u00e9e de vie d&rsquo;un produit<\/h2>\n<p>Imaginez que vous voulez calculer la probabilit\u00e9 qu&rsquo;un \u00e9quipement \u00e9choue exactement apr\u00e8s 5 ans, en utilisant une distribution Weibull avec un alpha de 1.5 et un beta de 10.<\/p>\n<pre><code> =LOI.WEIBULL(5, 1.5, 10, FAUX) <\/code><\/pre>\n<p>Cette formule vous fournit la densit\u00e9 de probabilit\u00e9 d&rsquo;une panne apr\u00e8s 5 ans.<\/p>\n<h2>Exemple 2: Calcul de la probabilit\u00e9 cumul\u00e9e<\/h2>\n<p>Pour d\u00e9terminer la probabilit\u00e9 que l&rsquo;\u00e9quipement mentionn\u00e9 ci-dessus tombe en panne au cours des 5 premi\u00e8res ann\u00e9es, il suffit de changer le quatri\u00e8me argument pour obtenir la probabilit\u00e9 cumul\u00e9e.<\/p>\n<pre><code> =LOI.WEIBULL(5, 1.5, 10, VRAI) <\/code><\/pre>\n<p>Ce calcul vous permet d&rsquo;obtenir la probabilit\u00e9 cumul\u00e9e que l&rsquo;\u00e9quipement ne fonctionne pas au-del\u00e0 de 5 ans.<\/p>\n<h2>Applications suppl\u00e9mentaires<\/h2>\n<p>La distribution Weibull ne se limite pas \u00e0 l&rsquo;analyse de fiabilit\u00e9. Elle est \u00e9galement utilis\u00e9e pour :<\/p>\n<ul>\n<li>Mod\u00e9liser le temps avant d\u00e9faillance d&rsquo;un composant m\u00e9canique sous conditions sp\u00e9cifiques.<\/li>\n<li>Estimer la dur\u00e9e de vie de composants biom\u00e9dicaux.<\/li>\n<li>Analyser les taux de panne en \u00e9cologie ou m\u00e9t\u00e9orologie.<\/li>\n<\/ul>\n<p>Ces applications d\u00e9montrent la polyvalence de la distribution Weibull pour modeler divers types de donn\u00e9es de durabilit\u00e9 ou de taux de d\u00e9faillance \u00e0 travers diff\u00e9rentes industries et disciplines de recherche.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>CalCule la varianCe d\u2019une population en se basant sur la population enti\u00e8re, nombres, texte et valeurs logiques inClus<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[317],"tags":[],"class_list":["post-6842","post","type-post","status-publish","format-standard","hentry","category-compatibilite"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fonction WEIBULL (LOI.WEIBULL) dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction WEIBULL (LOI.WEIBULL) d\u2019Excel et Google Sheets. 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